1427682182760 has 768 divisors, whose sum is σ = 5072191488000. Its totient is φ = 360729262080.

The previous prime is 1427682182651. The next prime is 1427682182789. The reversal of 1427682182760 is 672812867241.

1427682182760 is a `hidden beast` number, since 1 + 427 + 6 + 82 + 1 + 82 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1427682182697 and 1427682182706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3727629529 + ... + 3727629911.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416000).

Almost surely, 2^{1427682182760} is an apocalyptic number.

1427682182760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427682182760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536095744000).

1427682182760 is an abundant number, since it is smaller than the sum of its proper divisors (3644509305240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1427682182760 is a wasteful number, since it uses less digits than its factorization.

1427682182760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 1427682182760 in words is "one trillion, four hundred twenty-seven billion, six hundred eighty-two million, one hundred eighty-two thousand, seven hundred sixty".